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1-5 Solving Simple Inequalities Pre-Algebra Warm Up Solve. 1. x + 6 = 13 2. 8n = 48 3. t  2 = 56 4. 6 = x = 7 n = 6 t = 58 z = 36 z 6 1-5 Solving Simple.

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Presentation on theme: "1-5 Solving Simple Inequalities Pre-Algebra Warm Up Solve. 1. x + 6 = 13 2. 8n = 48 3. t  2 = 56 4. 6 = x = 7 n = 6 t = 58 z = 36 z 6 1-5 Solving Simple."— Presentation transcript:

1 1-5 Solving Simple Inequalities Pre-Algebra Warm Up Solve. 1. x + 6 = n = t  2 = = x = 7 n = 6 t = 58 z = 36 z Solving Simple Inequalities Pre-Algebra Homework out to check!

2 1-5 Solving Simple Inequalities Pre-Algebra Learn to solve and graph inequalities.

3 1-5 Solving Simple Inequalities Pre-Algebra An inequality compares two quantities and typically uses one of these symbols: < is less than  is greater than  is less than or equal to  is greater than or equal to

4 1-5 Solving Simple Inequalities Pre-Algebra Additional Example 1: Completing an Inequality Compare. Write. A. 23 – > B. 5(12) <

5 1-5 Solving Simple Inequalities Pre-Algebra Try This: Example 1 Compare. Write. A. 19 – < B. 4(15) >

6 1-5 Solving Simple Inequalities Pre-Algebra An inequality that contains a variable is an algebraic inequality. A number that makes an inequality true is a solution of the inequality. The set of all solutions is called the solution set. The solution set can be shown by graphing it on a number line.

7 1-5 Solving Simple Inequalities Pre-Algebra x < 5 4 < 5 x = < 5 x is less than 5 Word Phrase Inequality Sample Solutions Solution Set x = 4

8 1-5 Solving Simple Inequalities Pre-Algebra y  2 0  2 y =  2 y is less than or equal to 2 y is at most 2 Word Phrase Inequality Sample Solutions Solution Set –3 –2 – y = 0

9 1-5 Solving Simple Inequalities Pre-Algebra Solving inequalities is the same as solving an equation, but with 1 exception – when you multiply or divide by a negative #.

10 1-5 Solving Simple Inequalities Pre-Algebra Joke of the day A new teacher was trying to make use of her psychology courses. She started her class by saying, "Everyone who thinks you're stupid, stand up!“ After a few seconds, Little Johnny stood up. The teacher said, "Do you think you're stupid, Little Johnny?" "No, ma'am, but I hate to see you standing there all by yourself!"

11 1-5 Solving Simple Inequalities Pre-Algebra Solve and graph the inequality. A. x  8 –2.5 x  Subtract 2.5 from both sides.

12 1-5 Solving Simple Inequalities Pre-Algebra Solve and graph the inequality. B. 5t > t > t > 15 Divide both sides by 5.

13 1-5 Solving Simple Inequalities Pre-Algebra Solve and graph the inequality. C. w – 1 < 8 w < 9 – Add 1 to both sides.

14 1-5 Solving Simple Inequalities Pre-Algebra Solve and graph the inequality. D. 3  12  p Multiply both sides by 4. p 4 3  p 4 4 4

15 1-5 Solving Simple Inequalities Pre-Algebra Lesson Quiz Use to compare each inequality (2) – 2 11 Solve and graph each inequality. 3. k + 9 <  5. A school bus can hold 64 passengers. Three classes would like to use the bus for a field trip. Each class has 21 students. Write and solve an inequality to determine whether all three classes will fit on the bus. > 6  m > k< 3 m 2 –5 –4–3–2– –4 –3–2– (21)  64; 63  64; yes ?

16 1-5 Solving Simple Inequalities Pre-Algebra

17 1-5 Solving Simple Inequalities Pre-Algebra Homework out Warm-up Write an equation & solve The average weight of an elephant is 5,450 kg. This is 4,270 kg more than the average weight of a giraffe. What is the average weight of the giraffe?

18 1-5 Solving Simple Inequalities Pre-Algebra P.R.I.D.E. P Positive choices R Respect I Integrity D Determination E Excellence Altadena Middle School

19 1-5 Solving Simple Inequalities Pre-Algebra

20 1-5 Solving Simple Inequalities Pre-Algebra Mid-chp 1 quiz You need 1 pieces of paper out


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